On Suprasubjective Existence in Mathematics
DOI: http://doi.org/10.26333/sts.xxxii2.05 STANISŁAW KRAJEWSKI ON SUPRASUBJECTIVE EXISTENCE IN MATHEMATICS SU M M A R Y: The professional mathematician is a Platonist with regard to the existence of mathematical entities, but, if pressed to tell what kind of existence they have, he hides...
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Polskie Towarzystwo Semiotyczne / The Polish Semiotic Society
2019-05-01
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| Series: | Studia Semiotyczne |
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| Online Access: | http://studiasemiotyczne.pts.edu.pl/index.php/Studiasemiotyczne/article/view/6 |
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doaj-26e36560e062451fa5245b78ca884cef2021-02-22T16:38:01ZengPolskie Towarzystwo Semiotyczne / The Polish Semiotic SocietyStudia Semiotyczne0137-66082544-073X2019-05-01322On Suprasubjective Existence in MathematicsStanisław Krajewski0University of Warsaw, Institute of Philosophy DOI: http://doi.org/10.26333/sts.xxxii2.05 STANISŁAW KRAJEWSKI ON SUPRASUBJECTIVE EXISTENCE IN MATHEMATICS SU M M A R Y: The professional mathematician is a Platonist with regard to the existence of mathematical entities, but, if pressed to tell what kind of existence they have, he hides behind a formalist approach. In order to take both attitudes into account in a possibly serious way, the concept of suprasubjective existence is proposed. It involves intersubjective existence, plus a stress on objectivity devoid of actual objects. The idea is illustrated, following William Byers, by the phenomenon of the rainbow: it is not an object but can be said to possess a subjective objectivity. Stanisław Krajewski University of Warsaw Institute of Philosophy E-mail: stankrajewski@uw.edu.pl ORCID: 0000-0002-1142-8112 http://studiasemiotyczne.pts.edu.pl/index.php/Studiasemiotyczne/article/view/6mathematicsPlatonismformalismexistenceobjectivesubjective |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Stanisław Krajewski |
| spellingShingle |
Stanisław Krajewski On Suprasubjective Existence in Mathematics Studia Semiotyczne mathematics Platonism formalism existence objective subjective |
| author_facet |
Stanisław Krajewski |
| author_sort |
Stanisław Krajewski |
| title |
On Suprasubjective Existence in Mathematics |
| title_short |
On Suprasubjective Existence in Mathematics |
| title_full |
On Suprasubjective Existence in Mathematics |
| title_fullStr |
On Suprasubjective Existence in Mathematics |
| title_full_unstemmed |
On Suprasubjective Existence in Mathematics |
| title_sort |
on suprasubjective existence in mathematics |
| publisher |
Polskie Towarzystwo Semiotyczne / The Polish Semiotic Society |
| series |
Studia Semiotyczne |
| issn |
0137-6608 2544-073X |
| publishDate |
2019-05-01 |
| description |
DOI: http://doi.org/10.26333/sts.xxxii2.05
STANISŁAW KRAJEWSKI
ON SUPRASUBJECTIVE EXISTENCE IN MATHEMATICS
SU M M A R Y: The professional mathematician is a Platonist with regard to the existence of mathematical entities, but, if pressed to tell what kind of existence they have, he hides behind a formalist approach. In order to take both attitudes into account in a possibly serious way, the concept of suprasubjective existence is proposed. It involves intersubjective existence, plus a stress on objectivity devoid of actual objects. The idea is illustrated, following William Byers, by the phenomenon of the rainbow: it is not an object but can be said to possess a subjective objectivity.
Stanisław Krajewski
University of Warsaw
Institute of Philosophy
E-mail: stankrajewski@uw.edu.pl
ORCID: 0000-0002-1142-8112
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| topic |
mathematics Platonism formalism existence objective subjective |
| url |
http://studiasemiotyczne.pts.edu.pl/index.php/Studiasemiotyczne/article/view/6 |
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